The 21-year-old had not been seen since October 24 when he left the company of friends at Edinburgh College’s Milton Road East campus.
A man matching his description was later seen near the Duddingston Village area of Holyrood Park, heading into the park.
Last week, a body was recovered from Duddingston Loch in the park.
Mr Maury’s family were informed and Police Scotland have now confirmed identification.
Chief inspector Kevin McLean said: “Our thoughts are with the family of Antoine, whose courage and dignity throughout this harrowing time has been unparalleled.
“I would like to thank those members of the public and media who assisted in our search, their support was essential.
“We are supporting Antoine’s family through an appointed family liaison officer.
“We will continue to work with them and offer assistance throughout this difficult time.”
A major search for Mr Maury was launched following his disappearance and several specialist units were deployed, including the dog section and the Police Scotland marine unit.
Sonar equipment was used across Duddingston Loch as part of the operation.
Mr Maury was born and raised in Paris but moved to St Andrews to study when he was 16. A report on the death has been sent to the procurator fiscal.